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20871717552 = 2433731122193
BaseRepresentation
bin10011011100000011…
…010010001010110000
31222212120211002221000
4103130003102022300
5320221124430202
613331025202000
71336135446330
oct233403221260
958776732830
1020871717552
1189405a4354
124065a90300
131c7817b03a
14101dd9d0c0
1582255c91c
hex4dc0d22b0

20871717552 has 160 divisors (see below), whose sum is σ = 68691317760. Its totient is φ = 5943905280.

The previous prime is 20871717539. The next prime is 20871717577. The reversal of 20871717552 is 25571717802.

20871717552 is a `hidden beast` number, since 2 + 0 + 87 + 1 + 7 + 17 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20871717498 and 20871717507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929368 + ... + 951560.

It is an arithmetic number, because the mean of its divisors is an integer number (429320736).

Almost surely, 220871717552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20871717552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34345658880).

20871717552 is an abundant number, since it is smaller than the sum of its proper divisors (47819600208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20871717552 is a wasteful number, since it uses less digits than its factorization.

20871717552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22528 (or 22516 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 20871717552 in words is "twenty billion, eight hundred seventy-one million, seven hundred seventeen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 311 336 378 432 504 622 756 933 1008 1244 1512 1866 2177 2488 2799 3024 3732 4354 4976 5598 6531 7464 8397 8708 11196 13062 14928 16794 17416 19593 22193 22392 26124 33588 34832 39186 44386 44784 52248 58779 66579 67176 78372 88772 104496 117558 133158 134352 155351 156744 177544 199737 235116 266316 310702 313488 355088 399474 466053 470232 532632 599211 621404 798948 932106 940464 1065264 1198422 1242808 1398159 1597896 1864212 2396844 2485616 2796318 3195792 3728424 4194477 4793688 5592636 6902023 7456848 8388954 9587376 11185272 13804046 16777908 20706069 22370544 27608092 33555816 41412138 48314161 55216184 62118207 67111632 82824276 96628322 110432368 124236414 144942483 165648552 186354621 193256644 248472828 289884966 331297104 372709242 386513288 434827449 496945656 579769932 745418484 773026576 869654898 993891312 1159539864 1304482347 1490836968 1739309796 2319079728 2608964694 2981673936 3478619592 5217929388 6957239184 10435858776 20871717552